Le Van Hien
136 Xuan Thuy road,
Cau Giay District,
Hanoi, Vietnam
Mathematics Department,
Hanoi National University of Education
In this paper, a class of uncertain linear polytopic systems with distributed time varying delays is studied. By using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for exponential stability of the system are first established in terms of Mondie-Kharitonov type's linear matrix inequalities (LMIs). Numerical example is presented to demonstrate the effectiveness of the proposed conditions.